Multiple scattering of radiation in clusters of dielectrics

A fast, accurate, and general technique for solving Maxwell's equations in the presence of a finite cluster of arbitrarily disposed dielectric objects is presented. The electromagnetic field is first decomposed into multipoles with respect to centers close to each of the objects of the cluster and multiple scattering is carried out until convergence is achieved. Radiation scattering cross sections are obtained using this method for clusters formed by homogeneous spheres and coated spheres made of different materials (Al, Si, and SiO₂), including magnetic ones. Near- and far-field distributions are offered as well.